2 citations · 3 across the 6 of their papers we have counts for
7 papers
Braid group actions of quantum Borcherds-Bozec algebras
Zhaobing Fan, Bolun Tong
In this paper, we construct the Lusztig symmetries for quantum Borcherds-Bozec algebra and its weight module , on which the generators with real…
Global bases for quantum Borcherds-Bozec algebras
Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1
We provide a construction of global bases for quantum Borcherds-Bozec algebras and their integrable highest weight representations.
Abstract crystals for quantum Borcherds-Bozec algebras
Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1
In this paper, we develop the theory of abstract crystals for quantum Borcherds-Bozec algebras. Our construction is different from the one given by Bozec. We further prove the crys…
Classical limit of quantum Borcherds-Bozec algebras
Zhaobing Fan, Seok-Jin Kang, Young-Rock Kim +1
Let be a Borcherds-Bozec algebra, be its universal enveloping algebra and be the corresponding quantum Borcherds-Bozec algebr…
Drinfeld double of deformed quantum algebras
Zhaobing Fan, Junjing Xing
We provide a deformation, , of Lusztig algebra . Various quantum algebras in literatures, including half parts of two-parameter quantum algebras, quantu…
Equivariant K-theory approach to -quantum groups
Zhaobing Fan, Haitao Ma, Husileng Xiao
Various constructions for quantum groups have been generalized to -quantum groups. Such generalization is called -program. In this paper, we fill one of parts in th…